Title :
On quaternary MacDonald codes
Author :
Colbourn, Charles J. ; Gupta, Manish K.
Author_Institution :
Dept. of Comput. Sci. & Eng., Arizona State Univ., Tempe, AZ, USA
Abstract :
This paper studies two families of codes over Z4, MacDonald codes of type α and type β. The torsion code, weight distribution, and Gray image properties are studied. Some interesting optimal binary codes are also obtained. Two nonlinear families of binary codes are obtained via the Gray map.
Keywords :
Gray codes; binary codes; Gray image properties; Gray map; Z4; optimal binary codes; quaternary MacDonald codes; torsion code; weight distribution; Additives; Binary codes; Computer science; DC generators; Galois fields; Geometry; Gold; Lattices; Linear code; Vectors;
Conference_Titel :
Information Technology: Coding and Computing [Computers and Communications], 2003. Proceedings. ITCC 2003. International Conference on
Print_ISBN :
0-7695-1916-4
DOI :
10.1109/ITCC.2003.1197528